# Sannolikhet, statistik och kombinatorik: Color representations for threshold Gaussian and stable vectors

• Datum:
• Plats: Ångströmlaboratoriet 64119
Abstract: I will discuss recent progress made on understanding the concept of divide and color models (FK-type representations) in the context of threshold Gaussian and threshold stable random vectors. The proofs uses connections to the random cluster model of the Ising model, geometric representations of Gaussian vectors, DGFF:s on metric graphs and the tail behavior of Gaussian and stable random vectors. Interestingly, we also find that for each $alpha \in (0,2)$ there is a symmetric threshold stable random vector which exhibit a phase transition at $alpha$.